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Elliptic Laguerre-Gaussian beam

V.V. Kotlyar 1, 2, A.A. Almazov 2, S.N.Khonina 1, 2
1Image Processing Systems Institute of RAS
2Samara State Aerospace University

 PDF, 126 kB

Pages: 56-71.

Full text of article: Russian language.

Abstract:
An analytical expression describing the diffraction of a paraxial elliptical Gaussian-Laguerre beam is developed and analyzed. It is shown that for any degree of ellipticity and at any finite distance z from the reference plane, the intensity on the optical axis of the beam with an even order of singularity is nonzero, although the intensity on the optical axis of the beam is zero when z=0 and z=∞. For a beam with a small degree of ellipticity and with an even order of singularity, it is shown that in the beam cross section in the Fresnel zone, two isolated intensity zeros arise on a straight line lying at an angle of 45° or –45° depending on the right or left “helicity” of the beam. Numerical and natural experiments confirm the theoretical conclusions.

Keywords:
Laguerre-Gaussian beam, ellipticity, Fresnel zone.

Citation:
Kotlyar VV, Almazov AA, KhoninaSN. Elliptic Laguerre-Gaussian beam. Computer Optics 2005; 27: 56-71.

Acknowledgements:
TThis work was supported by the Russian-American program Basic Research and Higher Education (BRHE), grants of the President of the Russian Federation MD-209.2003.01 and NSh-1007.2003, and a grant from the Russian Foundation for Basic Research 05-01-96505.

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